The number of bacteria present at 5 hours is (b) 148.413
How can the number of bacteria present be described?From the question, we were given,
f(t) = eᵗ
Then f(t) = number of bacterials present at a particular time t.
f(5) = number of bacterial present at 5 hours
So, we have
f(5) = e⁵
f(5) = 148.413
Then this can be written in the whole number as 148 which implies that the second option is correct because using f(t) = eᵗ to describes the growth of a colony of bacteria will provide us with the answer
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A list contains the names of six anthropology students, two sociology students, and four psychology students. If one name is selected at random to assist in the professor's new study, find the probability that the chosen student is
P(anthropology)=
If the given expression is multiplied by 36
, which expression is NOT equivalent?
Responses
A (32
)(38
)( 3 2 )( 3 8 )
B 910
9 10
C 310
3 10
D (35
)(35
)
Answer:
The correct answer is (C) 310.
Multiplying the given expression by 36 gives:
(32)(38) + (35)(35) - (33)(37)
= 1216 + 1225 - 1221
= 1220
So the equivalent expression is 1220.
Option (C) 310 is not equivalent to 1220.
Help please Given the diagram below, what statement could you make about the relationship between angles 1 and 4?
A) ∠1 is congruent to ∠4.
B) m∠1 is greater than m∠4.
C) m∠1 is less than m∠4.
D) ∠1 and ∠4 cannot be determined.
Answer:
A) angle 1 is congruent (equal size) to angle 4.
Step-by-step explanation:
when 2 lines intersect, then the intersection angles are the same on both sides of any of the lines. they are only left-right mirrored.
Answer:
A) angle 1 is congruent (equal size) to angle 4.
Step-by-step explanation:
100 Points!!! Algebra question. Use synthetic substitution to find f(-3) and f(4) for 3x^4-4x^3+3x^2-5x-3. Please show as much work as possible. Photo attached. Thank you!
The mapping of the function f(x) given as 3x⁴ - 4x³ + 3x² - 5x - 3 is define at;
-3, f(-3) = 390 and at 4, f(4) = 537
What is a functionA function is a rule that defines a relationship between one variable. It is the mapping whose codomain is the set of real numbers
By substitution:
For x = -3;
f(-3) = 3(-3)⁴ - 4(-3)³ + 3(-3)² - 5(-3) - 3
f(-3) = 3(81) + 4(27) + 3(9) + 15 - 3
f(-3) = 243 + 108 + 27 + 15 - 3
f(-3) = 390
For x = 4;
f(4) = 3(4)⁴ - 4(4)³ + 3(4)² - 5(4) - 3
f(4) = 3(256) - 4(64) + 3(16) - 20 - 3
f(4) = 768 - 256 + 48 - 20 - 3
f(4) = 537
Therefore, the mapping of the function f(x) = 3x⁴ - 4x³ + 3x² - 5x - 3 for the values of x: -3 and 4 we have the results 390 and 537 respectively.
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9. What is the volume of a rectangular prism with a length of 11 meters, width of 26 meters, and height of 38 meters?
Answer:
10868
Step-by-step explanation:
11x26=286
286x38=10868
An angle measures 132 . What is the measure of its supplement
Answer: 48
Step-by-step explanation:
180-132=48
Answer:
48
Step-by-step explanation:
angle = 132
supplementary angle = 180
measure of supplementary angle = 180 - 132 = 48
thus the measure of the supplement is 48
hope you got your answer.
pleaseeeee helpppppp
Question Content Area Tanning Company analyzes its receivables to estimate uncollectible accounts. The accounts receivable balance is $310,000 and credit sales are $1,000,000. An aging of accounts receivable estimates that $21,700 of the outstanding receivables will be uncollectible. What adjusting entry will Tanning Company make if Allowance for Doubtful Accounts has a credit balance of $2,200 before adjustment?
The adjusting entry that Tanning Company will make for Allowance for Doubtful Account will be:
Debit: Bad Debt Expense $21,500Credit: Allowance for Doubtful Accounts $21,500How will Tanning Company adjust the allowance?Data:
Total credit sales = $1,000,000
Accounts receivable balance = $310,000
Estimated uncollectible receivables = $21,700
The adjusted balance for allowance for doubtful accounts will be:
= Credit balance + Estimated uncollectible receivables
= $2,200 + $21,700
= $23,900
So, the Company will make an adjusting entry by debiting Bad Debt Expense for $21,500 and crediting Allowance for Doubtful Accounts for $21,500 which will increase the balance of the allowance for doubtful accounts to $23,900.
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how many miles is 60,000 inches
Answer:
it is 0.94 miles
Step-by-step explanation:
that is because to make a mile you need 63,360 but since you have 60,000 it is not technically a mile
HELP PLEASE I REALLY NEED HELP ON THIS QUESTION HELP!
Answer:
No I don't. The editor will receive 360 undelivered mail.
Step-by-step explanation:
He sends 12000 emails, 3/100 of them come back undelivered.
Multiply to find the answer:
12000 x 3/100 = 36000/100 = 360
Simple as that; the editor will find that 360 of his sent emails will come back undelivered.
Help me with this question please
Answer:
[tex]c. 1/5[/tex]
Step-by-step explanation:
You have the points (-5, 0) and (0, 1).
To find the slope, b, of the original line, you can use the formula [tex](y_{1}-y_2) /(x_1-x_2)[/tex].
[tex]b = (0-1)/(-5-0) = -1/-5 = 1/5.[/tex]
The slope of a line parallel to the original line would have the same slope as the original line, therefore [tex]1/5.[/tex]
will mark as brainlist is answer correct. which meauser of center is the most appropriate answer for table two. pls give a reason. 25 points.
The meauser of center is the most appropriate answer for table two is the mean.
How to explain the meanMean, in terms of math, is the total added values of all the data in a set divided by the number of data in the set.
Each mean serves to summarize a given group of data, often to better understand the overall value of a given data set. Pythagorean means consist of arithmetic mean, geometric mean, and harmonic mean
It is the mean because all of the data points are fairly close and there aren't any outliers (extreme values).
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At Atlas Auto Sales, 51 of the 204 cars for sale are minivans. What percent of the cars are
minivans?
Answer: 25%
Step-by-step explanation:
51/204=0.25
0.25 x 100 = 25
Answer:25%
Step-by-step explanation:
A college student takes the same number of credits each semester. They had 19 credits when they started, and after 6 semesters, they had 67 credits. Which of these expresses the rate at which they is earning credits?
As per the given variables, the rate at which they earn credits is 8 credits per semester
Total number of credits = 19
Total number of semesters = 6
Credits after six semesters = 67
Calculating the change in credits -
Change in credits -
Credits after six semesters - Inital credits
= 67 - 19
= 48 credits
Total time = 6 semesters
Calculating the change in credits over the six semesters and dividing by the total time to get the pace at which the college student is acquiring credits.
Therefore, the rate at which the college student is earning credits is:
Rate = Change in credits / Total time
= 48 credits / 6 semesters
= 8 credits per semester
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q
5cm
X =
X
8cm
4cm
cm
Answer:
2.5 cm
Step-by-step explanation:
The small arrow is 1/2 the side of the large arrow. 1/2 of 5 is 2.5 or 2 1/2.
Helping in the name of Jesus.
help pls I don't understand it bc I'm not smart
Answer: the answer to be smart is to learn
Step-by-step explanation:
if you learn then you can understand the u are not smart
The same item is on sale at two stores. Which one is the better price? 60% off $60 or 55% off %50
Answer:
The item when it is costs $50 and there is a 55% item, as the cost would be $22.50
Step-by-step explanation:
Whenever a discount is offered on a certain item, we can find the new price of the item using the formula.
[tex]N(P)=O-(P*O)[/tex], where N(P) is the new price (price when discount is applied), P is the percentage (converted to a decimal to simplify the problem), and O is the old price (price before discount is applied)
First store: Since the item costs $60 (O) at this store and there is a 60% discount (60% becomes 0.60 and is our P value), we can find the new price aka N(P):
[tex]N(0.60)=60-(0.60*60)\\N(0.60)=60-36\\N(0.60)=24[/tex]
Second store: For this store, our O value is $50, and our P value is 0.55 (55% becomes 0.55):
[tex]N(0.55)=50-(0.55*50)\\N(0.55)=50-27.50\\N(0.55)=22.50[/tex]
Thus, the second store has the better price
Help please Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons. What kind of reasoning is Jared using?
A)Inductive Reasoning
B)Deductive Reasoning
If Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons, Jared is using deductive reasoning. Correct option is B.
Deductive reasoning is a logical process in which a conclusion is reached by applying general principles or known information to specific situations. In this case, Jared is using two theorems, which are general principles that have been proven to be true, to make a conclusion about a specific situation, the sum of interior angles of pentagons.
The conclusion that Jared makes is a conjecture, which is a hypothesis or a tentative conclusion that is based on limited evidence or observation.
In contrast, inductive reasoning is a logical process in which a conclusion is reached based on a series of observations or specific instances. Inductive reasoning involves making generalizations based on specific observations, which can lead to a hypothesis or a theory.
Therefore, Jared's use of two theorems to make a conclusion is an example of deductive reasoning. Correct option is B.
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What is the probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 96 words per minute?
Answer:
Step-by-step explanation:
We can calculate the t-statistic and the p-value as follows:
If we assume that the null hypothesis is true, then the t-statistic will follow a t-distribution with 19 degrees of freedom. We can compare the calculated t-statistic with the critical t-value at the 0.05 level of significance using a t-distribution table or statistical software.
If the calculated t-statistic is greater than the critical t-value, then we can reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the population mean reading rate is greater than 96 words per minute.
The p-value is the probability of obtaining a t-statistic as extreme or more extreme than the calculated t-statistic, assuming the null hypothesis is true. We can use the t-distribution table or statistical software to find the corresponding p-value.
If the p-value is less than the significance level of 0.05, then we can reject the null hypothesis at the 0.05 level of significance and conclude that the probability of obtaining a random sample of 20 second grade students with a mean reading rate of more than 96 words per minute is statistically significant.
Which of the following are necessary when proving that the opposite angles
of a parallelogram are congruent? Check all that apply.
A. Corresponding parts of similar triangles are similar.
B. Corresponding parts of congruent triangles are congruent.
C. Opposite sides are perpendicular.
D. Opposite sides are congruent.
SUBMIT
Answer:
B. CPCTC
D. opposite sides are congruent
Step-by-step explanation:
You want to know the necessary claims for proving opposite angles are congruent in a parallelogram.
ProofGiven parallelogram ABCD and diagonal AC, you can prove opposite angles congruent in this way:
AB≅CD and BC≅DA . . . . . opposite sides are congruent
AC≅CA . . . . . . . . . . . . . . reflexive property of congruence
∆ABC≅∆CDA . . . . . . . . . . . SSS congruence
∠B ≅ ∠D . . . . . . . . . . . . Corresponding parts of congruent triangles
When doing the proof, the necessary claims are ...
B. Corresponding parts of congruent triangles are congruent
D. Opposite sides are congruent.
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Which linear equation is represented in the graph?
A. y = 2x – 1
B. y = –2x – 1
C. y = –2x + 1
D. y = 2x + 1
Elaina is trying to fit the longest stick she can into her pet lizard’s tank. She knows running it diagonally from the front corner to the back will give her the most room but she is uncertain what size she should buy. What is the biggest length stick that will fit into her 12 by 8 by 8 tank?
The biggest length stick that will fit is 16.49 units long.
What is the biggest length stick for the tank?The length stick which will fit into Elaina's 12* 8*8 tank can be found using the Pythagorean theorem.
The diagonal length, of tank will be equal to square root of the sum of the squares of its length, width and height.
So, the diagonal length of the tank, using Pythagorean theorem, is
= √(12² + 8² + 8²)
= √(144 + 64 + 64)
= √272
≈ 16.49.
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A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 5 students' scores on the exam after completing the course:
2,14,1,2,−6
Using these data, construct a 90% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal.
Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
The critical value that should be used in constructing the confidence interval is 2.132 (rounded to three decimal places).
What is Critical value ?
In statistics, a critical value is a threshold value that is used to determine whether to reject or fail to reject the null hypothesis in a statistical test. It is typically based on the significance level of the test, which is the probability of rejecting the null hypothesis when it is actually true.
To find the critical value for a 90% confidence interval with n = 5, we need to use a t-distribution with (n-1) degrees of freedom.
Using a t-distribution table or a calculator, we can find the critical value with a 90% confidence level and 4 degrees of freedom (n-1 = 5-1 = 4) to be approximately 2.132.
Therefore, the critical value that should be used in constructing the confidence interval is 2.132 (rounded to three decimal places).
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State whether the decay is linear or exponential, and answer the associated question.
The value of a car is decreasing by 12% per year. If the car is worth $9,000 today, what will it be worth in two years?
_________________________________
= 12 × 9,000 ÷ 100= 1,080= 1,080 × 2= 2,160= 9,000 - 2,160= $6,840The Car Will Be Worth $6,840 After 2 Years_________________________________
Answer:
$6,840
Step-by-step explanation:
Someone help i really need help with this
The percentage increase in the number of water bottles from February to April is 19%.
How to find the percentage increase?A company manufactures water bottles. The list describes the amount of water bottles manufactured in three months.
Therefore,
February: 4100 water bottles
March: 7% more water bottles than in February
April: 500 more water bottles than in march
Therefore,
Number of water bottles in march = 4100 + 7% of 4100
Number of water bottles in march =4100 + 7 / 100 × 4100
Number of water bottles in march = 4100 + 287
Number of water bottles in march = 4387
Hence,
Number of water bottles manufactured in April = 4387 + 500 = 4887
Therefore,
percentage increase from February to April = 4887 - 4100 / 4100 × 100
percentage increase from February to April = 787 / 4100 × 100
percentage increase from February to April = 78700 / 4100
percentage increase from February to April = 19.1951219512
percentage increase from February to April = 19%
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does a number being squared with x and being negative make it so it has to be multiplied by 2 like the first number in the third part of the question? I'm unsure where it came from
Squaring a number implies increasing it by itself. In case the number being squared is negative, the result will continuously be positive. Increasing a number by 2 implies multiplying it, which is not linked to squaring a number.
What is the number about?To square a number, one must raise it to the power of two, that is different from carrying out its multiplication with itself. One way of squaring a value is shown by taking the number 3 and raising it to the power of 2.
3² = 3 x 3 = 9
By the same way , if we raise -2 to the power of 2, the result will be a positive value of four.
Raising numbers to the power of two is a frequent mathematical procedure use in numerous academic fields such as algebra, geometry, physics, and statistics.
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Patrick spent last summer working in construction with his dad, and he put of his earnings into a new high-yield savings account. The money in this savings account will increase by each . Write an exponential equation in the form Patrick's account, , after starting the account. that can model the amount of money in Use whole numbers, decimals, or simplified fractions for the values of and . □ \frac {\square }{\square } (\square ) If Patrick makes no other deposits or withdrawals, after how many will his account have more than ? Submit
a) An exponential equation in the form of y = a(b)ˣ that can model the amount of money (future value) in Patrick's account, y, x years after starting the account is y = 894(1.02)ˣ.
b) If Patrick makes no other deposits or withdrawals, after 5 years or approximately 6 years his account will have more than $1,000 (future value).
What is an exponential equation?An exponential equation is a mathematical function, written in the form of y = a(b)ˣ, where y is the ending value, a is the initial value, b is the growth or decay rate, and x is the exponent or number of years.
Thus, there are two types of exponential functions: exponential growth and exponential decay functions.
y = 894(1.02)^6
1,000 ≤ 894(1.02)ˣ
I/Y (Interest per year) = 2%
Present Value = $894
FV (Future Value) ≥ $-1,000
Results:
x = 5.658
x ≈ 6 years
= $1,006.79
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Complete Question:Patrick spent last summer working in construction with his dad, and he put $894 of his earnings into a new high-yield savings account. The money in this savings account will increase by 2% each year.
a) Write an exponential equation in the form of y = a(b)ˣ that can model the amount of money in Patrick's account, y, x years after starting the account. Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
b) If Patrick makes no other deposits or withdrawals, after how many years will his account have more than $1,000?
please guys i need help
[tex][D]= \begin{bmatrix} 5&0&-8\\ 10&-2&7\\ -3&-9&6 \end{bmatrix}\implies 2[D] \stackrel{ \textit{scalar multiplication} }{\begin{bmatrix} (2)5&(2)0&(2)-8\\ (2)10&(2)-2&(2)7\\ (2)-3&(2)-9&(2)6 \end{bmatrix}} \\\\\\ ~\hspace{12.5em} 2[D]= \begin{bmatrix} 10&0&-16\\ 20&-4&14\\ -6&-18&12 \end{bmatrix}[/tex]
Rewrite the cylinder volume formula to solve for r.
Answer:
[tex]v = \pi {r}^{2} h[/tex]
[tex] {r}^{2} = \frac{v}{\pi \times h} [/tex]
[tex]r = \sqrt{ \frac{v}{\pi \times h} } [/tex]
D is the correct answer.
If f(5)=-1 , write a corresponding ordered pair solution
Answer: (5, -1)
Step-by-step explanation:
format: f(x)
in f(5)=-1 x=5
also sometimes f(x) is called y so y= -1
put into ordered pair format
(5, -1)
